180 citations · 1.3k across the 95 of their papers we have counts for
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Convergence rates for critical point regularization
Daniel Obmann, Markus Haltmeier
Tikhonov regularization involves minimizing the combination of a data discrepancy term and a regularizing term, and is the standard approach for solving inverse problems. The use o…
Convergence analysis of critical point regularization with non-convex regularizers
Daniel Obmann, Markus Haltmeier
One of the key assumptions in the stability and convergence analysis of variational regularization is the ability of finding global minimizers. However, such an assumption is often…
Efficient regularization with wavelet sparsity constraints in PAT
Jürgen Frikel, Markus Haltmeier
In this paper we consider the reconstruction problem of photoacoustic tomography (PAT) with a flat observation surface. We develop a direct reconstruction method that employs regul…
The Residual Method for Regularizing Ill-Posed Problems
Markus Grasmair, Markus Haltmeier, Otmar Scherzer
Although the \emph{residual method}, or \emph{constrained regularization}, is frequently used in applications, a detailed study of its properties is still missing. This sharply con…